167161145038272 has 336 divisors, whose sum is σ = 617324527868160. Its totient is φ = 43418478850560.

The previous prime is 167161145038241. The next prime is 167161145038297. The reversal of 167161145038272 is 272830541161761.

167161145038272 is a `hidden beast` number, since 1 + 6 + 7 + 1 + 61 + 1 + 4 + 503 + 8 + 2 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55641918 + ... + 58569149.

It is an arithmetic number, because the mean of its divisors is an integer number (1837275380560).

Almost surely, 2^{167161145038272} is an apocalyptic number.

167161145038272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

167161145038272 is an abundant number, since it is smaller than the sum of its proper divisors (450163382829888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

167161145038272 is a wasteful number, since it uses less digits than its factorization.

167161145038272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114211117 (or 114211090 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 167161145038272 in words is "one hundred sixty-seven trillion, one hundred sixty-one billion, one hundred forty-five million, thirty-eight thousand, two hundred seventy-two".